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Math Problems
Grade 6
Evaluate variable expressions: word problems
Christina works at Candletree Bakery. She spent the morning making chocolate chip cookies. To make
b
b
b
batches of cookies, Christina uses
12
b
12b
12
b
ounces of chocolate chips. This morning she made
7
7
7
batches of cookies.
\newline
How many ounces of chocolate chips did Christina put in the cookies?
\newline
Write your answer as a whole number or decimal.
\newline
____ ounces
\newline
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Chloe makes beaded keychains to sell at local craft fairs. To make
k
k
k
keychains, she uses
15
k
15k
15
k
beads. On Saturday, Chloe made
50
50
50
beaded keychains.
\newline
How many beads did Chloe use to make the keychains?
\newline
Write your answer as a whole number or decimal.
\newline
____ beads
\newline
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As a special end-of-year treat, Kyle is making chocolate-covered strawberries for his teachers. If he dips
s
s
s
strawberries in chocolate, each teacher will get
s
4
\frac{s}{4}
4
s
chocolate-covered strawberries. Last night, Kyle dipped
16
16
16
strawberries in chocolate.
\newline
How many chocolate-covered strawberries will each teacher get?
\newline
Write your answer as a whole number or decimal.
\newline
____ chocolate-covered strawberries
\newline
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Candice is collecting donations from her neighbors for the local animal shelter. She started by adding some of her own money into the collection jar. After collecting
d
d
d
more dollars in donations, she will have a total of
10
+
d
10 + d
10
+
d
dollars in the jar. Today, she collected
$
36
\$36
$36
more in donations.
\newline
How much money does Candice have in her collection jar?
\newline
$
\$
$
___________
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Lacey read that a cat weighing
p
p
p
pounds needs to eat a total of
30
p
30p
30
p
calories each day to stay healthy. Lacey's cat, Muffin, weighs
8
8
8
pounds. How many calories should Lacey feed her cat each day? Write your answer as a whole number or decimal.
\newline
_
_
_
_
\_\_\_\_
____
calories
\newline
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A regular pentagon with side length
s
s
s
has perimeter
5
s
5s
5
s
. Dakota built a dog pen in her backyard for her dog's new puppies. The pen is shaped like a regular pentagon and has
40
40
40
-inch sides.
\newline
What is the perimeter of the pen?
\newline
Write your answer as a whole number or decimal.
\newline
____ inches
\newline
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Ms. Hendricks encourages her sixth-grade class to keep reading during breaks from school. She said that during a break lasting
d
d
d
days, they should each read
30
d
30d
30
d
minutes in total. This year, spring break is
9
9
9
days long.
\newline
How many minutes should each student read during spring break?
\newline
Write your answer as a whole number or decimal.
\newline
____ minutes
\newline
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Kristen is excited for her first overnight camping trip with her scout troop. The troop needs to take some parent chaperones with them on the trip. For a trip with
s
s
s
scouts, they need at least
s
5
\frac{s}{5}
5
s
chaperones. There are
15
15
15
scouts going on the camping trip.
\newline
How many chaperones does the troop need for the camping trip?
\newline
Write your answer as a whole number or decimal.
\newline
\newline
_
_
\_\_
__
chaperones
\newline
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At the Edenberry Middle School dance, students can get a reduced admission price by bringing up to
5
5
5
cans of food to donate. When a student brings
c
c
c
cans of food, admission to a dance costs
5
−
c
5 - c
5
−
c
dollars. Ruben brought
3
3
3
cans of food to the last dance.
\newline
How much did Ruben pay for admission to the dance?
\newline
$
\$
$
____
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Roger is binge-watching the new season of his favorite television show. It takes him
45
n
45n
45
n
minutes to watch
n
n
n
episodes of the show. Last night, Roger watched
4
4
4
episodes.
\newline
How long did it take Roger to watch
4
4
4
episodes of his favorite show?
\newline
Write your answer as a whole number or decimal.
\newline
\newline
____ minutes
\newline
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The perimeter of an equilateral triangle with side length
s
s
s
is
3
s
3s
3
s
. Leslie is using a wooden equilateral triangle with
15
15
15
-inch sides as a stand for her newest sculpture. What is the perimeter of the stand? Write your answer as a whole number or decimal.
\newline
____ inches
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The perimeter of an equilateral triangle with side
s
s
s
is
3
s
3s
3
s
. Diana is making a decorative pillow for her living room. The pillow is shaped like a triangle with lace around the edges. Each side of the pillow is
7
7
7
inches long. What is the perimeter of the pillow? Write your answer as a whole number or decimal.
\newline
____ inches
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The Cosmic Consoles factory makes video game consoles, packs them into boxes, and ships them by truck. In
v
v
v
boxes, there are
24
v
24v
24
v
video game consoles. This morning, a truck carrying
100
100
100
boxes of the latest model game consoles left the factory.
\newline
How many video game consoles were on the truck?
\newline
Write your answer as a whole number or decimal.
\newline
____ video game consoles
\newline
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Polly's veterinarian told her a dog that weighs
w
w
w
kilograms needs
30
w
+
70
30w + 70
30
w
+
70
calories each day to stay healthy. Polly's dog, Otis, weighs
22
22
22
kilograms.
\newline
How many calories does Otis need each day to stay healthy?
\newline
Write your answer as a whole number or decimal.
\newline
\newline
____ calories
\newline
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Mia works at a smoothie shop. For
h
h
h
hours of work, Mia earns
8
h
8h
8
h
dollars. Last weekend, Mia worked
9
9
9
hours.
\newline
How much did Mia earn last weekend at the smoothie shop?
\newline
$
\$
$
____
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Troy works part-time at a deli counter. He puts food into packages for customers to buy. When Troy packages
h
h
h
hot dogs, he evenly divides them into
h
8
\frac{h}{8}
8
h
packages. Yesterday, he packaged
320
320
320
hot dogs.
\newline
How many packages of hot dogs did Troy make?
\newline
Write your answer as a whole number or decimal.
\newline
____ packages
\newline
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Leon is helping his baby sister Daphne eat her dinner. There are
12
12
12
peas left in Daphne's bowl and
7
7
7
peas squished in her hair.
\newline
What is the ratio of peas in Daphne's bowl to peas in her hair?
\newline
Choose
1
1
1
answer:
\newline
(A)
12
12
12
for every
7
7
7
\newline
(B)
12
12
12
for every
19
19
19
\newline
(C)
7
7
7
for every
19
19
19
\newline
(D)
19
19
19
for every
7
7
7
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Last month, Margo bought a tree that grows
2.5
c
m
2.5 \mathrm{~cm}
2.5
cm
each day. It was
5
c
m
5 \mathrm{~cm}
5
cm
tall when she bought it and now it is
65
c
m
65 \mathrm{~cm}
65
cm
tall. How many days has Margo owned the plant?
\newline
□
\square
□
\newline
Show calculator
\newline
How do l enter a student-produced response on the SAT? Show me!
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Carter traveled
95
95
95
miles from Sartell to Target Field by car for part of the way and then took the Lioit Rail Train for the remainder of the trip. The car was traveling an average rate of
60
60
60
mph and we Lioit Rall Train averaged
\newline
90
90
90
mph. If the total trip took
1.5
1.5
1.5
hours. How long did Carter travel by train?
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Kajal holds a ruler in some wavy water. The depth of the water
t
t
t
seconds after she starts measuring it, in
c
m
\mathrm{cm}
cm
, is given by
\newline
D
(
t
)
=
50
−
23
sin
(
π
(
t
+
0.23
)
)
.
D(t)=50-23 \sin (\pi(t+0.23)) .
D
(
t
)
=
50
−
23
sin
(
π
(
t
+
0.23
))
.
\newline
After she starts measuring, when is the first time the depth of the waves is at its average value? Give an exact answer.
\newline
When
t
=
t=
t
=
□
\square
□
seconds
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Question
\newline
Watch Video
\newline
Show Examples
\newline
Find the volume of a right circular cone that has a height of
12.7
m
12.7 \mathrm{~m}
12.7
m
and a base with a circumference of
18.9
m
18.9 \mathrm{~m}
18.9
m
. Round your answer to the nearest tenth of a cubic meter.
\newline
Answer Attempt
1
1
1
out of
2
2
2
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Find the volume of a right circular cone that has a height of
\newline
13.8
ft
13.8\,\text{ft}
13.8
ft
and a base with a radius of
7.8
ft
7.8\,\text{ft}
7.8
ft
. Round your answer to the nearest tenth of a cubic foot.
\newline
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Question
\newline
Watch Video
\newline
Show Examples
\newline
Find the volume of a right circular cone that has a height of
13.8
f
t
13.8 \mathrm{ft}
13.8
ft
and a base with a radius of
7.8
f
t
7.8 \mathrm{ft}
7.8
ft
. Round your answer to the nearest tenth of a cubic foot.
\newline
Answer Atempt a out of a
\newline
□
\square
□
f
t
3
\mathrm{ft}^{3}
ft
3
\newline
Shintant
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The double number line shows the price of
1
1
1
cupcake.
\newline
Complete the table to show the same information as the double number line.
\newline
\begin{tabular}{cc}
\newline
Cupcakes & Price (dollars) \\
\newline
\hline
5
5
5
&
□
\square
□
\\
\newline
\hline &
18
18
18
\\
\newline
\hline
18
18
18
& \\
\newline
\hline
\newline
\end{tabular}
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A scientist measured a tiny microbe to have a radius of
\newline
4.6
×
10
meters
4.6 \times 10{\text{meters}}
4.6
×
10
meters
.
\newline
Complete the statement using standard form of the number: The microbe has a radius of ______ meters.
\newline
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Katlego mixed a paint hue that is
3
4
\frac{3}{4}
4
3
red and
1
4
\frac{1}{4}
4
1
yellow. She has
600
ml
600\,\text{ml}
600
ml
of the mix. What volume, in milliliters, of pure yellow paint should Katlego add to have a hue that is
3
5
\frac{3}{5}
5
3
yellow?
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Roselyn is driving to visit her family, who live
150
150
150
kilometers away. Her average speed is
60
60
60
kilometers per hour. The car's tank has
20
20
20
liters of fuel at the beginning of the drive, and its fuel efficiency is
6
6
6
kilometers per liter. Fuel costs
0
0
0
.
60
60
60
dollars per liter.
\newline
What is the price for the amount of fuel that Roselyn will use for the entire drive?
\newline
__________dollars
\newline
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\newline
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is
15
:
1
15: 1
15
:
1
. He currently has
40
40
40
grams of the spice blend, and he can go buy more if necessary. He wants to make
10
10
10
servings, where each serving has
75
75
75
grams of rice. Overall, David spends
4
4
4
.
50
50
50
dollars on rice.
\newline
What is the price of rice per gram?
\newline
________dollars per gram of rice
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The roof of Braeden's house is shaped like a pa The base of the roof is
12
m
12\,\text{m}
12
m
and the area is
11
11
11
number and unit to make a true statement.
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i-Ready
\newline
Divide a Decimal by a Whole Number - Instruction - Level E
\newline
x
x
x
\newline
Max divides
0
0
0
.
75
75
75
tablespoon of honey equally among the
3
3
3
jars. He uses
0.75
÷
3
0.75 \div 3
0.75
÷
3
to find how many tablespoons of honey are in each jar.
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Mr. Free's science class measures rain for two months. In the first month, there was
2
5
\frac{2}{5}
5
2
of an inch of rain. In the second month, there was
1
5
\frac{1}{5}
5
1
of an inch of rain. What was the total amount of rain over the two months? How much would it have to rain in the third month to reach
4
5
\frac{4}{5}
5
4
of an inch for all three months?
\newline
Answer:
\newline
\qquad
\newline
Explain:
\newline
\qquad
\newline
\qquad
\newline
\qquad
\newline
35
35
35
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(D) Create and fill in the boxes: Use the hracket only once around two of the integers and put each of the symbols
t
t
t
,
x
x
x
and
÷
\div
÷
in the boxes to get the required answer.
8
□
2
□
1
□
6
=
4
8 \square 2 \square 1 \square 6=4
8
□
2
□
1
□
6
=
4
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Measurements of a room are
7
m
700
cm
,
6
m
&
3
m
75
cm
7\text{m}^{700\text{cm}},6\text{m} \& 3\text{m}75\text{cm}
7
m
700
cm
,
6
m
&3
m
75
cm
. And the length of the lingest rod that can measure all the three dimensions of the room.
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The time needed to paint a fence varies directly with the length of the fence and inversely with the number of painters. If it takes
5
5
5
hours to paint
200
200
200
feet of fence with
3
3
3
painters, how long will it take
5
5
5
painters to paint
500
500
500
feet of fence?
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Three runners cover a distance of
80
c
m
,
85
c
m
80 \mathrm{~cm} ,85 \mathrm{~cm}
80
cm
,
85
cm
and
90
c
m
90 \mathrm{~cm}
90
cm
in every step. Find the least distance which will be covered by each runner in whole steps. Also, find the number of whole steps taken by each runner.
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Extra Questions:
\newline
1
1
1
. A,
B
&
C
B \& C
B
&
C
start a game of Preparing bead necklaces.
A
A
A
takes
12
12
12
minutes,
B
B
B
takes
18
18
18
minutes \&
\newline
c.m C takes
24
24
24
minutes to prepare one necklace Affer how much dime all the three children stast to prepare a new necklace simultaneously
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Name
\newline
qquad Period
\newline
qquad
\newline
Complete the following questions ONE DAY AT A TIME!!
\newline
Use you reference sheet to solve the following. Week #$\(6\).\(24\)\(\newline\)Monday, \(\newline\)\(3/4\)\(\newline\)What is the formula for perimeter of an equilateral triangle? \(\newline\)qquad What is the perimeter of a triangle with all sides \(\newline\)\(6\,\text{cm}\) ? SHOW ALL WORK!\(\newline\)Tuesday, \(\newline\)\(3/5\)
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Find the perimeter of the figure below, in meters.
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of cylinders
\newline
G how to solve fro the hight of
c
\mathrm{c}
c
\newline
-- ixl.com/math/grade
−
8
-8
−
8
/surface-area-of-cylinders
\newline
Kahoot
\newline
YouTube
\newline
G Play Gimkit! -Enter..
\newline
Play Blooket
\newline
Clever | Portal
\newline
Q. Join a Quizizz activi..
\newline
Google Doc
\newline
My IXL
\newline
Learning
\newline
Assessment
\newline
Analytic:
\newline
W.
5
5
5
Surface area of cylinders FGU
\newline
The surface area of this cylinder is
803
803
803
.
3376
3376
3376
square centimeters. What is the height?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
h
≈
h \approx
h
≈
□
\square
□
centimeters
\newline
Submit
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of cylinders
\newline
(G) how to solve fro the hight of
\newline
a
a
a
\newline
-- ixl.com/math/grade
−
8
-8
−
8
/surface-area-of-cylinders
\newline
Kahoot
\newline
YouTube
\newline
Play Gimkit! - Enter...
\newline
Play Blooket
\newline
Clever | Portal
\newline
Q. Join a Quizizz activi...
\newline
Google Dor
\newline
My IXL Learning
\newline
Assessment
\newline
Analytic:
\newline
W.
5
5
5
Surface area of cylinders FGU
\newline
The surface area of this cylinder is
803.3376
803.3376
803.3376
square centimeters. What is the height?
\newline
Use
\newline
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
h
h
h
~~
\newline
□
\square
□
centimeters
\newline
Submit
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The pie chart shows how
36
36
36
pupils travel to school.
\newline
Use the pie chart to complete the table.
\newline
\begin{tabular}{|c|c|}
\newline
\hline \begin{tabular}{c}
\newline
Travel to \\
\newline
school
\newline
\end{tabular} & \begin{tabular}{c}
\newline
Number \\
\newline
of pupils
\newline
\end{tabular} \\
\newline
\hline Walk & \\
\newline
\hline Bus & \\
\newline
\hline Car & \\
\newline
\hline Bike & \\
\newline
\hline Total &
36
36
36
\\
\newline
\hline
\newline
\end{tabular}
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Please use your calculator to help you with this section.
\newline
One serving of Mike's crackers has
150
150
150
calories and a mass of
30
30
30
grams. thow many calories are in
6
6
6
grams of the crackers?
\newline
5
5
5
\newline
10
10
10
\newline
25
25
25
\newline
$\(30\)
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Name:
\qquad
Unit
8
8
8
: Trigonomet
\newline
Date:
\qquad
Bell:
\qquad
Homework
5
5
5
: Law ** This is a
2
2
2
-page document **
\newline
\begin{tabular}{|l|l|l|}
\newline
\hline Directions: Find each side length to the nearest tenth. \\
\newline
\hline
1
1
1
. \\
\newline
\hline
\newline
\end{tabular}
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Q
4
4
4
Assignmen:
\newline
Dat. Assignments
=
2
=2
=
2
(B) Si
\newline
Copy of Graded Asst.
\newline
DentaMath Student
A
A
A
\newline
google translate
−
60
-60
−
60
\newline
Watch Video
\newline
Show Examples
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
Find the Perimeter of the figure below, composed of a parallelogram and one semicircle. Rounded to the nearest tenths place
\newline
Shapes
\newline
pes.
\newline
(es)
\newline
Answer
\newline
ranrilinate
\newline
□
\square
□
\newline
Submit Answer
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4
4
4
Two glass containers are shown. Both are right rectangular prisms.
\newline
Container
1
1
1
is filled with water and Container
2
2
2
is empty.
\newline
Container
1
1
1
\newline
Container
2
2
2
\newline
Amalia wants to pour all of the water from Container
1
1
1
into Container
2
2
2
. What must the height of Container
2
2
2
be in order for it to hold the same amount of water as Container
1
1
1
? Round your answer to the nearest tenth.
\newline
Type the numeric answer only, do not include units.
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Given
63
63
63
and
89
89
89
as the lengths of two sides of a triangle, find the range of values for the third side.
\newline
Enter the number that belongs in the green box.
\newline
□
\square
□
Enter
\newline
4
4
4
International Academy of Science. All Rights Reserved.
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Listen
\newline
Find the area of a pentagon with an apothem of
5
5
5
units. Round your answer to the nearest hundredth.
\newline
A
≈
A \approx
A
≈
□
\square
□
square units
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You and your friends watched the latest movie at the movie theater. The movie was
3
3
3
hours and
12
12
12
minutes long. You all left the movie theater at
18
:
30
18{:}30
18
:
30
. At what time did the movie start?
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alculator Allowed
\newline
Algebra I, Subpart
3
3
3
\newline
The length of a garden is
6
6
6
feet more than the width. The area of the garden is
40
40
40
square feet.
\newline
What is the length, in feet, of the garden?
\newline
Enter your answer in the space provided.
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Henry places a bottle of water inside a cooler. As the water cools, its temperature
C
(
t
)
C(t)
C
(
t
)
in degrees Celsius is given by the following function, where
t
t
t
is the number of minutes since the bottle was placed in the cooler.
\newline
C
(
t
)
=
3
+
19
e
−
0.045
t
C(t)=3+19 e^{-0.045 t}
C
(
t
)
=
3
+
19
e
−
0.045
t
\newline
Henry wants to drink the water when it reaches a temperature of
16
16
16
degrees Celsius. How many minutes should he leave it in the cooler?
\newline
Round your answer to the nearest tenth, and do not round any intermediate computations.
\newline
minutes
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